1. Practice: SAC type questions
Task 1
A taxi company determined that on an annual basis the distance travelled per taxi is normally
distributed with a mean of 92 000 kilometres and a standard deviation of 23 500 kilometres.
a What is the probability, correct to four decimal places, that a taxi travels less than 75 000
kilometres per year?
b What is the probability, correct to four decimal places, that a taxi travels more than 80 000
kilometres per year?
c What is the probability, correct to four decimal places, that a taxi travels between 60 000
and 100 000 kilometres in the year?
d Find the minimum mileage that could be expected by 95% of taxis, to the nearest km.
e Fred runs a fleet of 10 taxis. What is the probability that at least four of the taxis travel
more than 80 000 kilometres in a year?
Solution:
a 0.2347
b 0.6952
c 0.5466
d 53 346
e 0.9884
Task 2
Checkpoints Questions 131, 129, 109, 146.
Solutions in book
